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Finding the Fourth Proportional to 201,210.70, 301,816.05 and 68,095.30

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Solution

The fourth proportional to 201,210.70, 301,816.05 and 68,095.30 is: 102,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,210.70 : 301,816.05 = 68,095.30 : x
  2. Step 2: Convert to fraction form
    201,210.70/301,816.05 = 68,095.30/x
  3. Step 3: Cross multiply
    201,210.70x = 301,816.05 × 68,095.30
  4. Step 4: Simplify right side
    201,210.70x = 20,552,254,469.57
  5. Step 5: Solve for x
    x = 20,552,254,469.57/201,210.70
  6. Step 6: Final answer
    x = 102,142.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.